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                [Nwerc2006]Ticket to Ride                </h1>
                <p>时间限制：1s&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;  空间限制：64MB</p>			</div>
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                                <h3>题目描述</h3><p>给一张地图，地图上有一些城市，城市之间可能有线路连通，我们用一个无向图来表示以简化概念，每条边有个权值，表示选择这条边需要花费的费用。给定4对顶点(可能重复)，求一个权值最小的边集，使得任意一对顶点可以由选出的边集中的边相连。
按照惯例，下面给出一个例子：
 
<img border="0" src="../file/1866_0.jpg"> 
</p><hr/><h3>输入格式</h3><p>第1行2个整数，n和m，分别表示城市的个数和边的个数。
接下来n行，每行一个字符串，表示每个城市的名字。城市的名字为一个不超过20个字符，由小写字母构成的字符串。
再接下来m行，每行给出s1,s2和w，其中s1,s2为城市的名字，w为他们之间边的权值。
最后，给出4行，每行给出两个字符串，分别为要求的一对城市的名字。
</p><hr/><h3>输出格式</h3><p>一行，输出最小的花费。

</p><hr/><h3>样例输入</h3><pre>样例输入1：
10 15
stockholm
amsterdam
london
berlin
copenhagen
oslo
helsinki
dublin
reykjavik
brussels
oslo stockholm 415
stockholm helsinki 396
oslo london 1153
oslo copenhagen 485
stockholm copenhagen 522
copenhagen berlin 354
copenhagen amsterdam 622
helsinki berlin 1107
london amsterdam 356
berlin amsterdam 575
london dublin 463
reykjavik dublin 1498
reykjavik oslo 1748
london brussels 318
brussels amsterdam 173
stockholm amsterdam
oslo london
reykjavik dublin
brussels helsinki


样例输入2：
2 1
first
second
first second 10
first first
first first
second first
first first

</pre><hr/><h3>样例输出</h3><pre>样例输出1：
3907

样例输出2：
10

数据范围：
	10%或20%的数据中，地图是一棵树。
	对于所有数据，
		n<=30,m<=1000,w<=10000。
</pre><hr/><h3>提示</h3><p>没有写明提示</p><hr/><h3>题目来源</h3><p>没有写明来源</p>
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